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Journal of Mathematics, Computation and Statistics (JMATHCOS)
Published by Universitas Negeri Makassar
ISSN : 24769487     EISSN : 27210863     DOI : https://doi.org/10.35580/jmathcos
Core Subject : Education,
Mathematics
Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik matematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 210 Documents
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Pemetaan Kasus Tuberkulosis di Provinsi Sulawesi Selatan Tahun 2020 Menggunakan Model Bayesian Spasial BYM dan Leroux Aswi, Aswi; Sukarna, Sukarna; Nurhilaliyah, Nurhilaliyah
Journal of Mathematics, Computations and Statistics Vol. 4 No. 2 (2021): Volume 04 Nomor 02 (Oktober 2021)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Tuberculosis (TB) is an infectious disease that is one of the ten leading causes of death in the world. Indonesia is a country with the second-highest number of TB sufferers in the world. This study aims to identify areas with a high and low relative risk (RR) of TB by using the Bayesian Spatial Conditional Autoregressive (CAR) Besag-York-Molliѐ (BYM) and Leroux models. TB case data in every 24 districts/cities in South Sulawesi province in 2020 is used. The best model was selected based on three criteria, namely Deviance Information Criteria (DIC) and Watanabe Akaike Information Criteria (WAIC). The results show that the Bayesian Spatial CAR BYM and CAR Leroux with hyperprior IG (0.5; 0.0005) are the best models that have the same RR value. Makassar City is the area with the highest RR value (1.70) which indicates that Makassar City has a TB risk 70% higher than the average. On the other hand, the Toraja district has the lowest TB risk (0.43) which indicates that Toraja has a TB risk 43% lower than the average.
Pengelompokan Provinsi Berdasarkan Kualitas Jaringan Internet Dengan Metode Centroid Linkage Dzikrullah, Abdullah Ahmad
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

After the current pandemic, the internet has shown its power as a medium for digital acceleration and economic transformation. Internet quality is absolutely an essential requirement in carrying out various activities. Indonesia has unequal internet quality, and only specific areas in Java and Sumatra have good quality. This study aims to classify 34 provinces in Indonesia based on five indicators of internet network quality. The cluster method can rank regions based on internet quality indicators. The centroid Linkage method is an object grouping method that has advantages in handling outlier data. This study resulted in four groups with low internet quality located in Papua and West Papua provinces. The contours and topography of the area are obstacles for the government to distribute quality internet.
Solusi Persamaan Panas Dimensi Satu dengan Metode Transformasi Laplace dan Transformasi Elzaki Zaki, Ahmad; Syam, Rahmat; Lubis, Kristina
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to determine the solution to the one dimensional heat equation using the Laplace transformation and Elzaki transformation. This research is a pure research that examines the Laplace transformation and Elzaki transformation in the one dimensional heat equation
Pemodelan Kerusakan Beton akibat Hujan Asam Menggunakan Software MATLAB Ahmad, Irma Aswani; Pertiwi, Nurlita; Taufieq, Nur Anny S
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Several cities in Indonesia experienced rain with acidity levels below the standard threshold. This condition illustrates that the rainwater is categorized as acid rain. Acid rain causes damage to crops, the aquatic environment, and human disease. This damage also occurred in construction buildings, causing porous concrete and reinforcement. This damage also occurs in construction buildings, causing the concrete and reinforcement to become porous, affecting the durability of the building. The purpose of this study is to predict the decrease in the durability of concrete buildings by making modeling using Matlab software. This research is experimental research with cylindrical and beam-shaped specimens. The variation used is a mixture of concrete using rice husk ash substituting 0%, 5%, and 10% by weight of cement. The tests carried out are compressive, flexural, and water absorption tests. This data was analyzed to form a durability model with the help of Matlab software. The results showed that the durability modeling was in the form of a hyperbolic paraboloidal with a second-order polynomial equation
Sifat Keherediteran Aljabar Lintasan dan Aljabar Lintasan Leavitt Kariman, Delsi; Junios, Junios
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This article deals with two topics, namely the hereditary property of path algebras and the hereditary property of Leavitt path algebras. The hereditary property is advantageous in studying projective modules over algebras. In the first topic, the path algebras are hereditary if the graph is finite, connected, and acyclic. In the second topic, Leavitt path algebras are hereditary if the graph is finite
Analisis Tingkat Kesejahteraan Masyarakat di Provinsi Nusa Tenggara Barat Menggunakan Model Regresi Multivariat Syam, Rahmat; Sukarna, Sukarna; Nurmah, Nurmah
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to determine the model of the relationship between the rate of economic growth, the level of Gross Domestic Product Regional each capita, and the Human Development Index for supporting variables base on multivariate regression analysis to analyze the level of public welfare in West Nusa Tenggara Province by selecting the best model using the KICC method. The supporting variables were life expectancy, unemployment rate, expenditure each capita, poverty level, and local income. The data was published by the Central Bureau of Statistics of West Nusa Tenggara Province on 2018. The result shows that there are three variables which have shown a positive impact on the public welfare in West Nusa Tenggara Province, namely life expectancy, expenditure each capita, and local income. However, the others have shown a negative impact. The relation between predictors and response simultaneously is = 0.999990324, it means that the data is explainable 99.99% by the model.
Model Generalized Poisson Regression (GPR) dan Penerapannya pada Angka Pengangguran bagi Penduduk Usia Kerja di Provinsi Sulawesi Selatan Ihsan, Hisyam; Sanusi, Wahidah; Ulfadwiyanti, Risna
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study discusses the formation of the Generalized Poisson Regression (GPR) model and its application to the unemployment rate for the working age population in South Sulawesi Province. This type of research is applied research that uses the Poisson regression model, namely Poisson regression and GPR models. The response variabel used is the total unemployment rate at working age which includes the workforce in South Sulawesi Province in 2017. The predictor variables used are the percentage of the workforce on the working age population, the Human Development Index, the percentage of work on the labor force, population density, and economic growth. This research uses the Maximum Likelihood Estimation (MLE) method to estimate parameters and produce a GPR model. The predictor variables which have a significant influence are the Human Development Index and the percentage of work on the labor force.
Suatu Kajian Tentang B-Aljabar Sanusi, Wahidah; Abdy, Muhammad; Sidjara, Sahlan; Asni, Asriani Arsita
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research is a literature studies that aims at reviewing the concepts and properties of B-Algebras. The concept of B-Algebras in this article is based on research that has been done by Neggers and Kim and Allen. All discussions in this article use the firm sets, both finite sets and infinite sets. As a result, more complete evidence of the properties of B-Algebras can be given and its relationship with the group. A group with a specific operation and has as an identity element is a B-Algebras. Moreover, a number of group theorems can be derived into B-Algebra such as natural mapping and the First Isomorphism Theorems which in their proof have similarities to the proofs of groups while still using the properties of B-Algebra itself.
Solusi Numerik Model SIR pada Penyebaran Penyakit Hepatitis B dengan Metode Perturbasi Homotopi di Provinsi Sulawesi Selatan Side, Syafruddin; Wahyuni, Maya Sari; Rifki, Muh.
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research aims to find out the numerical solustion from a SIR model on the spread of Hepatitis B by Homotopy Perturbation Method. This research used a secundary data from Rosdiana’s research (2015) focused on SIR model and number of Hepatitis B in South Sulawesi 2015 from Health Department of South Sulawesi. The discussion started by determining general solution with Homotopy Perturbation Method, parameter decision, simulation and result analyzis. After conducting an analyzis from numeric simulation it shows that the Homotopy Perturbation Method can be used to analyze the preference of Hepatitis B treatment in South Sulawesi also can be a consideration for preventing action of infectious disease of Hepatitis B. This research gets movement grafic and result analyzis from SIR model by riil data.
Pemodelan Penggunaan E-Money Pada E-Parking Kota Makassar Ihsan, Hisyam; Side, Syafruddin; Wulandari, Emi
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This study aims to build a model of the use of E-Money in E-Parking type SIRI (Susceptible - Infected - Recovered - Infected) in Makassar City. The added assumption is that people who have used E-Money can may return to cash payments on parking. This model is divided into three classes, namely vulnerable / potentially using parking, cash users, and E-Money users. The data used are primary data obtained by direct survey in the field. The survey was conducted by distributing questionnaires to 100 respondents randomly. The SIRI type mathematical model is used to determine the equilibrium point. The simulation results of the SIRI type model produce a base reproduction number (R0) of 0.021021 which means that the use of cash can decrease which causes the use of E-Money will increase in a certain period of time.

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